拟正交矩阵的若干性质

Some properties of the generalized orthogonal matrix

基于正交矩阵概念,给出了K-拟正交矩阵的概念,通过讨论拟正交矩阵的基本性质,研究了拟正交矩阵的行列式、逆矩阵、伴随矩阵、转置矩阵及其他矩阵的相关性质,并得到了拟正交矩阵的一些等价条件.

Based on the concept of orthogonal matrix,the concept of k-generalized orthogonal matrixhis is defined,and through the discussion of the basic properties of generalized orthogonal matrix,some relevant properties of its determinant,inverse matrix,adjoint matrix,transpose matrix,and other matrices are analyzed,and some equivalent conditions are obtained.